{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true,
    "pycharm": {
     "is_executing": false
    }
   },
   "outputs": [],
   "source": [
    "import os\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib.image as mpimg\n",
    "\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "rgb_path = os.path.expanduser('../../README/0001_03.jpg')\n",
    "saved_rgb_path = os.path.expanduser('../../README/rgb_0001_03.jpg')\n",
    "rgb = mpimg.imread(rgb_path)\n",
    "plt.imshow(rgb)\n",
    "mpimg.imsave(saved_rgb_path, rgb)"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n",
     "is_executing": false
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 288x329.492 with 1 Axes>",
      "image/png": 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1Hng4XH9qKBQz+tn9q3yTYxcqB0JIFiqHdcaHvd6JLz4SuiYPaVpnD5v7U4kEqe2sMj049T2MPLRZUw7pONtVhR8vipUnYFXSp72PbwtdrqYKGs9rCWjEqMVRzJGO/hL/rmhuq2dWoWBXJF17H0MroFMeav5piCuenz8Y9k+w2FCZ86xsDagcCCFZqBymYPjCX4k/lwvWI5sLf+nnoUcZ92x8bvVd3a9QmC/Ce04p0YhcALV0AWMifTqNXsTJSh0s2sTYqhdN05ebSiJNhurVCtJO+hhSZTOZLp3ik7VSpdCmMioV0PQTlCoTSU9tn03zH2JCWDLFHAAGphh86wV3Opa81n3UFIL9p2hn65eLo3IghGShcpiC3j/chOG/amZIlqYUPEoh1sH0DtnU417T9xA/10EtYSCNVngsPuz7uNijFE69R4wL4dgDOtat9yQfl3cF4UViorIQjYphsvhsM7KRSgfvecpa2yee2+JTSBVDPf+iSglvqp9xcrxqZ3PClVOqTFzry96JTdV+zPeCdOgeCu9NLL+hvHVP/gttIagcCCFZqBzWCbGu0fMWXEEUNsh230PX8hxcORQju25Uyw6Mvod8d5seTX0OuSnbvVh63udp5Be5qRSDl3UTdBIfQyf1PaTtbm1pfmJXth2JYqhPskqzOOPciZaoRJtvYqidGOF54HDIW3Dl4M6QTj/8r8jIDlhJfd3CmZEOlQMhJAuVwzrhGXS+LUaWCWnebfc9pB2lD3m1wKSvwbdpxmRLG7y37ck4+hpS2grMljEnoFkItqOKgSuGZHp1OksUSan4qjBtlWWZ+hJSUqXg+AzMUos4hyKNxLTlN8SoRdn8dS9EY7GXx2x/FACw7+GgIPz1if0/du8JC+yWg+NnlQUqB0JIFiqHKakUQ9h334MPt8ttphx8hTsbqnreQxyWF6gkgSmItrSBcZIZmXrc28bYwGRtg+FqvwICeHX2qAvMsZL6C9pL1GucMZoqgtUyIKtFeTx3oTtRr8GVRLp4TVt+g6uFUdmJpfsPDkPK6sh9Dtas3k/DUoPaD/Ub3Ncgi4uN41sRGocpWfjSNwEAgxf/ava8Dy/Gi/k/gvrEKzWjIL71a+yH0tfCbAlH1n/pfbWnJStB5X9AXiE6HV74MGTZ/pAGtdW5S0mNT0tIM1a8aR4f1j6Thj8nDVs+wak+PbvVONh3PmRVp/0zh2xRkMn9Aods3Qo3tHEmeVrIxh2Q462bLp3CYQUhJAuVwwZRFXXxEKd1RcnErMZELZ/zVLaojMQBGIu92AcHphz6ZRddmxC0HOslmqNRPSnKknm8f0h8iUVcM7Mbw6CuLnpJAZlOi2Kor7bliUg+mhojPyRyXB14GTt3Ng61i4PW87tCSGtDukLw794vm+uB+lT3w+MelsfhmgN9GybYu4+p68Pw3XW5Oaw4HqByIIRkoXLYZNIIY0yzVsSe13stVwotFdVi9elYhdqco/2yg8J6xMUi9LKeFt23h3R8irI7/MSLyDZVAFD5J9KiL1FRtKRm11O3Vw+hVg7HOt77u5I4UG6vfAaJIqgckM2JV4fHlY8h7Id7PjpcRH9sKsJW1fYUdi/2q4dCNWodH81E9K0BlQMhJAuVw5T0fz0fpYihzF7TfxCH2On06wVdtcyatBRDHZty8LF0t6x6ucXCe/d0RezmhKxxTHpKS6sVtYlL+QIyzpItAOprUbqSWJBxVA4xfRuVT6OO9/a+zuXD47COqq+Q3S+7NX/F5ESqejv9fQyjLyZsH7Ww5YHhNuw/HIq2DAb5PwX3MahHKQrzt2zhIi8OlQMhJAuVw5Qs/l3Ic5hQEO438CnZXh5uQRr7seNsFHvRxjYt+uKMo6/BemXrOZdHPRS2QveB0TY7l5+E5JO1eqYw3Dfh5KIJ7geop2sDtSiBBuVwYhHG60PpRvXh1w7QLCvvCVXLtkL2Q6MdAIAHhiGd2f0GubTrdEq5KwV/Hwfts57TcHAYtgf6i9HXUNrCQTFaYf9vP37j0wEAZ//3b0w8d6tD5UAIyULlsEGU3eZErLiflIIb7mi/x2TUYmWnhEctup0yZvx11SMYliE5dl+D9eReMCapFptTDGn+QLq4jvsa0gzKHUV/IvMxTb0+lPgY9tk6gY9aJd5BufqvarWGZnjGskUiPJfBFcPBQdj2h12MRqYY/CbpZDJPi18In9nK6dIpVA6EkCxTKQcROQXAhwA8DcH4/jaA2wB8CsA5AH4E4FWq+tBUrZxjDl/SsqC4Zzv6VO0i2cZCpXZ9bcq2z61oy29IFYT34L2iGnunK2+XWjb2+2lPbO3yEnT1Kd9VdmIn/1mPzHi0ICk5N9AuFuLqPs1oSLqU3YPma/BsxzTisBKxRH/pysEyJE1BePFYXxyoVInvMmalWibrU955OwDgrjf8EgBAfOr9NvPhLG/dBXSdaZXD+wF8SVWfAuCXAdwC4O0ArlXVXQCutX1CyDHGmpWDiJwM4J8D+C0AUNUBgIGIXALg+XbZ1QC+BuBt0zRyntl+zQ0AJhVE6nOYyG/wAirWAQ1Pqj7rvVnqc2ibW1Ek+Q/1hWJTv4CTFkQpksVvYz4EdEIxpIvzpvi96pmLC0n2ZFrSzfMuvNf3bMY407RlynfjnupzTKydY5+lat+19JmXEreuznTcvO+t/+08AMBT/uCW8FlTCj5V+3hgGuVwLoD7AXxURL4tIh8SkR0ATlfVe+2a+wCcnvuwiFwuIjeKyI1DHD9OHkKOFabxOXQBPAvAG1T1ehF5P5IhhKqqpN1ddW43gN0AcJLsXGE5lGMD7SQ9mvdI0dfQjFb4cnhjX8lWMFEmLt4q9v52aYtSSGdpNo61lGeL8xAs76CThC3GqBTDSr12/bz7K+oRj7gMX0v5Or92eydEPB4ZbW99ZltmZJn4HGKR2jKvOlQR/0OinycW3Ambu64IPodz33tzuNcjj2TbvxWZRjnsBbBXVa+3/c8gGIuficgZAGDbfdM1kRAyC9asHFT1PhG5W0SerKq3AbgYwA/s36UA3mXba9alpccaHq1IfAxt8ydUUC2gaxSJkvAKdBO+BrvpYuHFYXVCMfgY3kfMIxvLd9IFdcXzEOrPXWXSh7c39Wu01GoIbczP10gzNLuWhzGoqZdJ5WCKIfFLVNGTVDGs8H1iBaiwecLH9oYflmzh3ONIOUybBPUGAB8XkQUAdwJ4HYIa+bSIXAbgxwBeNeUzjgmWPhcE1KF/fWHjePTd+R+2++ViqNNPaKXjPDRYNp2JPqwoo8PSS76FrcvphWI8YUB8urU7+Dz5yUOGi5bAlDMEbTUpO8k0bP/DTlOy0+sa92gZZmy3RSr75faJc2lNyFEybIhVqJPjmjMWaYKZNecp7wuCVx8+YA09/lKCpjIOqvodABdkTl08zX0JIbOH6dPrjCvpMnFQaqIKoqJwJ+NYqvygdDp3qhRaVsLq+rBCykoBJPdqcwimlZpz163+XC/6EhREpxZSbVMIKbEUnd2jZ/v11SJWUwxpEZz4OZ/PZvv14UVMUY8T5pIK4G0ZaVuY408rEUKOCCqHdWbHZ4Lv4cC/vQhAzcfgq0X1mklRsfMqEUuUxV4sKTTrab+donl8IrRZaGsv747IMqoQn4iVOEPrPyf3ch9C9Gck07Ed92PUP5+WmqucrEemLHI+EU0ckG3n/bWtqAHsHd/2H84AAJz3x5b5Xx5//ejx940JIUcElcMGESdcJZ1Z7FzrK13Fk3bKCo/IQrg47flax/5H0PsWqWJIU7LjSt2V76EtBbutHal/oYMS28RVRJIgZd/Jz/siPA8gFHmpp3GntCV2tYUqU58DAGiSUl2trh22d77pqQCAx7/z69l7bmWoHAghWagcNgjviE7++HUAgIdfG3wQcS1NafZUTQWx8pTtiWclPWUhWkuprhKjcnjMP1UQ6f2ASV/DxHmpoiX167cVw4mCtp24DiAanx3HhC4rTmtbn3ade64nbE2kRyfXp76Jsu7T8Z+TMnHHo2JwqBwIIVmoHDYIVwzp/t4rn9s47p1wbpis0UNuq1p7r5Zc1zK3rcGR+hrSqEFdJcRMSU2iFclnYqZkTXGkC9+ki9mk3Xw6marenrJsKgCnLWqRZkjmPuNTtsXuffKeiUuPO6gcCCFZqBw2mYm5SO6CGNeLnNqmNVfBiscmmYnRvyCKdE5FSpuvIc2QrPfC6XyN6l42qSsp6LJNBvFe6WK81ZftJJ9JisIkEYn6xKvVlEJa3CX1NdSLvUSfw8gVxPGXEZlC5UAIyULlsNlMOAxq26QXi7MIfcGVZL5Gmhk5suSKrpatRV28P1gtI7EthwGo5mH0zBfi074nnulL7EEbi+qGxof9HdKsAnZgHGZhut+irhjCtr0/i4oiOe6+mvh6XVGUArXS9K4YOsv2HP5lUDkQQvLQPm4y0rL+qtSWw3PPeVsJ+qOJTqT7abSiLUpxNKQ+h6quQ3VPVwxFNrGjOn9iJyyhdy9OBjC5tF1uObz2snGJbyKdpVkWUPcx2Hbpp2HbP6X16x43UDkQQrJQOcyYxhA67bxbMiU16RHHsTxaVd49KgXPSUDT54Ak23GlKEV6LlUlrhR8OTzPjNxh8yR2FP2oGBbiQjfN7xSzK+26JasElaqAerSiza+Svh/H3+NoaGpkJLE0n3iJPts89n3Hb2akQ+MwY+oTsTwBx6dqx7UU7H8p94eyGrGkWjKMmEiCWmFYMTFZCk0H5JLNUloqwvZEW4zDw5cFyloRl2ao0llOVsI6we4xiOtWVGtQpKHJtPxb9X4QPwNUjt3Sh23jAmIOSXdEttX4PB7hsIIQkoXKYZMpUoekd+CCiV5LY09nNrzXTKMeWo/Y8a24/O9US1d5jlG6irb1nl7d2cc3vWTyFDBZ0LW0XtyHF4dsEY6TzZkYP1fre9JCMCl+ra+Zed3+JwCoitPEdS61iErAFUNaDs7fz8g+40lP41HY9/eKQQEZNEOYj72KwwmHyoEQkoXKYZO4981hwlVcbDo1y6XU5h43T1WhuGaPuNBtFoNpjMV9BnLivPNxeeqIdPqZArNlsh6E4/c62dYF9TL3+2zhzyct/gwAcMfwdFy49MPwGeuPBsl6m+5U/aeHd4Xz4+YamfXisZ4W7c8ft6yF6fsjUwxj8y/Uw5dF394HV2ScgMqBEJKFymGTOOO9YSzrCsJ79mLsqkCreduuBJI0au8Bux0LWY6bY3+RydWvPbyJjkkW2y3NP7FY5KMH3m+svKp1uOb+wYkAgEdHi432fHd8NgDgGTt+jG8dPgcAcP7iPQCqtTldEXx5fyjH5kVd6tGJejuG405UDBqP2TVJSfrRqBmliNGfoamjvqDTZ3iiDSoHQkgWKofNxsPp1oOv4sQHUCXveNp0HEuP84qhW5Sx9yw6ySrbXp7O7nl4HPwEK020SnMg0tRrJ52Q5ergOwcfH++/v7cEAFg2/8QNB54YvkvZ9DHE3IRkaTtFpZg8KpH6HFwpRF9D396PKQnPJ5GRoPDVciggJqByIIRkoXLYbNIOeiUFkay67fkOpa++7eXvE7/AcNxBmSx8E8vLW9pgNynl5ttuJkV6cpp0MyXbJ0elXU1dQXik5esHQjTClULf5kb7NioeaS4O7NvhuFPleaR5DEleSPQxJFvpe0GXqgT9FPPOtixTKQcReZOIfF9EbhaRT4jINhE5V0SuF5E9IvIpW4GbEHKMsWblICJnAngjgPNV9bCIfBrAqwG8FMBVqvpJEfkrAJcB+OC6tHYL4FGLiUKz45p68Nx/n3g1aiqGtsxA9z2UKlhseX5UBPbRwhwanik5SLIf6z+ni+a0LTjjSmPon4dOFGsZum+hJYfCVUE6b2I0rjIk2xSDRy1KL+TiU90tG7Lwwi6HJSoG/38hFdP6HLoAtotIF8ASgHsBvADAZ+z81QBeMeUzCCEzYM3KQVXvEZH3APgJgMMAvgzgJgD7VdWD53sBnDl1K7cwMWqhVY827iXrthVJz+yl2b0oqneQtd7Xe9cY4YiZj+PGeS9S6z6AlUrTey/vvzS+ME2Z9O5p5CNMs24qBo94DNMoRZI5GX0O4yrvYTjs2vdN30dz1mUsGjtsTst2hdbpZzJVSXdYb5sAAAu7SURBVGTNr0ZETgVwCYBzATwOwA4ALz6Kz18uIjeKyI1DMHeVkHljmmjFCwHcpar3A4CIfA7A8wCcIiJdUw9nAbgn92FV3Q1gNwCcJDuPuzrgsXOtf/MYuWgWRI1l4zwCkUQpUt9DuMa6x2Tsni6KO7kffiXqZe89srHQaYZU2uZpeO2Ierdczeh0H0M43nNfR9nMiBwkszGXTS2MRp1qjkQ6pyTWaWhmQnoJuGJY+RoAoHuIUYqVmMY4/ATARSKyhDCsuBjAjQC+CuCVAD4J4FIA10zbyK1Iutp2MRCoJyz5RbHYSzNxyR1vPmTomLGoO/XiH05iBGQiHdqTjZpH3cnXkTIaI08q2tYJrsYFn/6dPMO/QG7yVt/+6H1quCdhDSxt+pH+tvAsMxIHl0Owa+jVm8qiSi93G+TvyZ8/TtrhjkjzkPpWSuAXP0BHZBtrHlao6vUIjsdvAfie3Ws3gLcBeLOI7AFwGoAPr0M7CSGbzFRJUKr6TgDvTA7fCeDZ09z3eCAu/OQhxZHVNAQg3rN1mzJZC7u405yq7b282BTu0XjS5qe9e1u6dG644ZOh/Fx/FPZdufhw44Ru8B0dtiGEDwmWusOJtOhHhyHY6vf20KV/pm/DCP9ujclorhjiOpcuYexLjHxilW2TNSm6h+w6pkyvCH21hJAsTJ+eEWf8aRjr/vQ/WzKUAl2rsmaLPlU9YeI0i6E6X1HKpnDHUKZodPi5j8FDh3HVp8T3kCoGRzLJUOm+q4FHhtuy1+0fdCeunagM7duWKeKaUw6j6PQI22QNCvfr+OQq3+89Gm5w2oe/kX0WCVA5EEKyUDnMCVJW/geryo7SfQ69JERnNl1trD9OfAyqgk706AdV4ZOVOkVzopUkiiI+YQXFkK645WHPCTUCj75Ux/1eRzBTvUFM+EJGMXgI2Kdie8iyn/gaDh7lQ49zqBwIIVmoHGbM4/4k+B7uedtzq8jFwHMSfHBtF7tysHwIVxJlYuOLYjwxho8KIUl1jsc9ZyJRAYVKzNhKJ1itVCBmLdfVafVBlDKpGJKVsj3ZKb5Hu667nKSlkxWhciCEZKFymBPOfPfXcffvh8iFzz3yNN/SfQ6eCBjXdbTjriRqU5ij6HAfg0ctTBl0kslc44np356OWR33knO+InZbxMOpUqZlIhri59K07riEnZd488It9SUCY8jFMyKtzR6d8DwRm/4XS8HZ5077EKMURwKVAyEkC5XDHHH2HwX/w4/+6DkAatmTNoYed71bdd9DM4oRS8ONqp9jDoQXirFnqUmLIk6wCsejr8GuG6NSHXGCV9G8B4qkCIxdX49ipJPD0sWARzEzMsy1KJNFhRtqoVYgFqgmqhVpMRdTDL2D9DWsBSoHQkgWKoc55JzfD2PiH/7pRQAqBSFDL89uasD3vWPsePdaxEhHmpNQ1Yfz1W3sHjFaYYf98ppfIV3y3hEvWptEOvrmA+hKGedWpHMofEGaiWKxo2SBnvqMz2Rqe5ySnWRE+na0PZx/7Ps4A/NooHIghGShcphjnviW6wAAd7w/KAjPN/D5ErEYX1QDPlszBjJiTyyxs7eoQdlUEN5Pj331PFcrolVuhN/BS9Al7XU10EsUxLJ247Xp4rejca1OA6ol7CYK3Qyq2ZlpubciRiWaeQ3+Wh57FRXDWqByIIRkoXI4Bth1xXWN/Tv+4kIAmXJyEsMIKDu+8IyXbmt2px7FcGLGZMyctEVvIBP+B03mZaQ5DP1kgd9xWdSWrGtGPjyPIa3bkC4mHCMUY2n+jCqvweek+D4Vw3TQOBzLuCPSw36jusOyaRREPPnIaTozY8jTzpY1R2V9iAHUkp8SY5EyroUrPbkprfvYuvWG+rM8aWsgVcjS6hIXyUrZXINifeCwghCShcrhGGTX717f2L/9L60qX61MmsZQpfXEMcspbDSZiFWm61zYrToASk+YaskiigOWloIxqjKRJp0Sw7HWbrVSdFXBm2ooEdedWG46IM98NxXDekLlQAjJQuWwBTjvP94AALjjz4OjEiWgiU/BC8x2uqliaN6rSPwL4Zpm2LPId/5ZxdCGnyt8YphtJ1bITsvd9wW9A17MJRx73HuoGDYCKgdCSBYqhy3ErjcEX8Seqy6qCsMMmtO63ZfgqdYepXAFkRaFqQsLiceSoi9tvgifl1U7ncY1NIlixMV3fKKYfY/eIyE8uvjzyudANhYqB0JIFiqHLciT3nRdFcHwyViWfqxdn5JtK2Rb/yBFM0nKp2NrobFAjCcydYo0gcoe5X6DVA1A42fTsnUxn8I/49GVQVAKkixtBzCPYbOgciCEZKFy2KJ4BMO5/X/+amO/HPrq2xaB6MSpUZm72bJyiYKYKAunTX9FfZsWjI3l3zyaYvcsl20KmBW46e0Px895B0u7bTZUDoSQLFQOxwnn/ftvNvZv/+ivAKiVmItjfuu5ux7FUHS8gG0SavDcBPcfjJIFdusqIfUxjEy5+NJ+5bL9Ko6bkQ8qhtmxqnIQkY+IyD4Rubl2bKeIfEVE7rDtqXZcROTPRGSPiHxXRJ61kY0nhGwcR6IcPgbgLwD8de3Y2wFcq6rvEpG32/7bALwEwC77dyGAD9qWzBnnve6mxn5UEhYtKG2GZ2ehROlFVWz5PUnSGoqkzL3nTlTTsaUqPuPHRkkmpEUjzvudpq+EzI5VlYOq/iOAB5PDlwC42n6+GsArasf/WgPXAThFRM5Yr8YSQjaPtfocTlfVe+3n+wCcbj+fCeDu2nV77di9IHNNqiTq/PDjzwQAlFbExcvV+byHcbI/8GxL81WUo6JSCMmSfis9l8yWqaMVGrJljnoxRBG5XERuFJEbh+hP2wxCyDqzVuXwMxE5Q1XvtWHDPjt+D4Cza9edZccmUNXdAHYDwEmy8+hXWiWbxhNf++1ZN4HMgLUqh88DuNR+vhTANbXjv2lRi4sAPFwbfhBCjiFWVQ4i8gkAzwfwGBHZC+CdAN4F4NMichmAHwN4lV3+RQAvBbAHwCEAr9uANhNCNoFVjYOqvqbl1MWZaxXA66dtFCFk9jB9mhCShcaBEJKFxoEQkoXGgRCShcaBEJKFxoEQkoXGgRCShcaBEJKFxoEQkoXGgRCShcaBEJKFxoEQkoXGgRCShcaBEJKFxoEQkoXGgRCShcaBEJKFxoEQkoXGgRCShcaBEJKFxoEQkoXGgRCShcaBEJKFxoEQkoXGgRCShcaBEJKFxoEQkoXGgRCShcaBEJJlVeMgIh8RkX0icnPt2J+IyK0i8l0R+VsROaV27koR2SMit4nIizaq4YSQjeVIlMPHALw4OfYVAE9T1X8G4HYAVwKAiJwP4NUAnmqf+UsR6axbawkhm8aqxkFV/xHAg8mxL6vqyHavA3CW/XwJgE+qal9V7wKwB8Cz17G9hJBNYj18Dr8N4P/az2cCuLt2bq8dI4QcY3Sn+bCIvAPACMDH1/DZywFcDgDbsDRNMwghG8CajYOI/BaAlwG4WFXVDt8D4OzaZWfZsQlUdTeA3QBwkuzU3DWEkNmxpmGFiLwYwFsBvFxVD9VOfR7Aq0VkUUTOBbALwA3TN5MQstmsqhxE5BMAng/gMSKyF8A7EaITiwC+IiIAcJ2q/o6qfl9EPg3gBwjDjder6nijGk8I2TikGhHMjpNkp14oF8+6GYQcd1yv1+IRfVBy55ghSQjJQuNACMlC40AIyULjQAjJQuNACMlC40AIyULjQAjJQuNACMlC40AIyULjQAjJQuNACMlC40AIyULjQAjJQuNACMlC40AIyULjQAjJQuNACMlC40AIyULjQAjJQuNACMlC40AIyULjQAjJMhel6UXkfgAHATww67ZkeAzYrqNhHts1j20C5qNdj1fVX8idmAvjAAAicqOqXjDrdqSwXUfHPLZrHtsEzG+7HA4rCCFZaBwIIVnmyTjsnnUDWmC7jo55bNc8tgmY33YBmCOfAyFkvpgn5UAImSNoHAghWWgcCCFZaBwIIVloHAghWf4/DPSjVSBywy8AAAAASUVORK5CYII=\n"
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "dep_path = os.path.expanduser('../../README/0001_03.npy')\n",
    "saved_dep_path = os.path.expanduser('../../README/dep_0001_03.jpg')\n",
    "dep = np.load(dep_path)\n",
    "plt.matshow(dep)\n",
    "plt.show()\n",
    "mpimg.imsave(saved_dep_path, dep)"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n",
     "is_executing": false
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "outputs": [],
   "source": [],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.6"
  },
  "pycharm": {
   "stem_cell": {
    "cell_type": "raw",
    "source": [],
    "metadata": {
     "collapsed": false
    }
   }
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}